helmholtz_band_iterative.cc
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#include "rheolef.h"
using namespace std;
using namespace rheolef;
#include "sphere.icc"
int main (int argc, char**argv) {
environment rheolef(argc, argv);
geo lambda (argv[1]);
size_t d = lambda.dimension();
space Xh (lambda, "P1");
field phi_h = interpolate(Xh, phi);
band gamma_h (phi_h);
space Bh (gamma_h.band(), "P1");
trial u (Bh); test v (Bh);
form a = integrate (gamma_h, u*v + dot(grad_s(u),grad_s(v)));
field lh = integrate (gamma_h, f(d)*v);
field uh (Bh,0);
solver_option sopt;
sopt.max_iter = 10000;
sopt.tol = 1e-10;
minres (a.uu(), uh.set_u(), lh.u(), eye(), sopt);
dout << catchmark("phi") << phi_h
<< catchmark("u") << uh;
}
lh
field lh(Float epsilon, Float t, const test &v)
Definition: burgers_diffusion_operators.icc:25
band
see the band page for the full documentation
field
see the field page for the full documentation
form
see the form page for the full documentation
geo
see the geo page for the full documentation
rheolef::catchmark
see the catchmark page for the full documentation
Definition: catchmark.h:67
rheolef::environment
see the environment page for the full documentation
Definition: environment.h:115
rheolef::solver_option
see the solver_option page for the full documentation
Definition: solver_option.h:155
rheolef::solver_option::max_iter
size_type max_iter
Definition: solver_option.h:161
rheolef::solver_option::tol
Float tol
Definition: solver_option.h:160
rheolef::std
Definition: vec_expr_v2.h:402
space
see the space page for the full documentation
test
see the test page for the full documentation
trial
see the test page for the full documentation
main
int main(int argc, char **argv)
Definition: helmholtz_band_iterative.cc:29
mkgeo_ball.f
int f
Definition: mkgeo_ball.sh:221
mkgeo_ball.d
int d
Definition: mkgeo_ball.sh:154
rheolef::details::dot
rheolef::details::is_vec dot
rheolef
This file is part of Rheolef.
Definition: compiler_eigen.h:37
rheolef::eye
solver_basic< Float > eye()
see the eye page for the full documentation
Definition: eye.h:74
rheolef::grad_s
std::enable_if< details::is_field_convertible< Expr >::value,details::field_expr_v2_nonlinear_terminal_field< typename Expr::scalar_type,typename Expr::memory_type,details::differentiate_option::gradient >>::type grad_s(const Expr &expr)
grad_s(uh): see the expression page for the full documentation
Definition: field_expr_terminal.h:929
rheolef::integrate
std::enable_if< details::is_field_expr_v2_nonlinear_arg< Expr >::value &&! is_undeterminated< Result >::value, Result >::type integrate(const geo_basic< T, M > &omega, const Expr &expr, const integrate_option &iopt, Result dummy=Result())
see the integrate page for the full documentation
Definition: integrate.h:202
rheolef::interpolate
field_basic< T, M > interpolate(const space_basic< T, M > &V2h, const field_basic< T, M > &u1h)
see the interpolate page for the full documentation
Definition: interpolate.cc:233
rheolef::minres
int minres(const Matrix &A, Vector &x, const Vector &Mb, const Preconditioner &M, const solver_option &sopt=solver_option())
Definition: minres.h:100
rheolef.h
rheolef - reference manual
sphere.icc
The level set function for the sphere geometry.
a
Definition: diffusion_isotropic.h:25
lambda
Definition: yield_slip_circle.h:34
phi
Definition: phi.h:25
u
Definition: leveque.h:25
u
Float u(const point &x)
Definition: transmission_error.cc:26